A357390 Numbers k such that A071626(k) > A071626(k+1).

64, 113, 132, 151, 216, 247, 278, 309, 340, 371, 402, 422, 433, 469, 515, 558, 601, 644, 687, 730, 731, 773, 792, 816, 853, 859, 914, 975, 1021, 1036, 1094, 1097, 1129, 1156, 1158, 1167, 1219, 1240, 1242, 1244, 1280, 1313, 1327, 1341, 1355, 1386, 1402, 1410, 1459

Offset: 1

Author

Amiram Eldar, Sep 26 2022

Keywords

• nonn

Comments

Conjecture: This sequence has an asymptotic density 0.028..., which is the same as the asymptotic density of A357388 (see A357385).

Examples

			64 is a term since A071626(64) = 9 > A071626(65) = 8.
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A071626, A342091, A357385, A357388.

Programs

Mathematica

s[n_] := Length[Union[FactorInteger[n!][[;; , 2]]]]; s[1]=0; Select[Range[1500], s[#] > s[# + 1] &]